Which of the numbers (not digits) should be interchanged in the below equation to make it mathematically correct?
108 ÷ 9 × 16 + 12 - 27 = 126
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 9 and 12.
Given equation: 108 ÷ 9 × 16 + 12 - 27 = 126
Option 1: 12 and 27
After interchanging the expression becomes:
= 108 ÷ 9 × 16 + 27 - 12 = 126
= 12 × 16 + 27 - 12
= 192 + 27 - 12
= 219 - 12
= 207 is not equal to 126
Option 2: 9 and 12
After interchanging the expression becomes:
= 108 ÷ 12 × 16 + 9 - 27 = 126
= 9 × 16 + 9 - 27
= 144 + 9 - 27
= 126 = 126
As we have found our answer, there is no need to check further options.
Hence, 9 and 12 is the correct answer.